
where \((b_i, d_i)\)  are the \((\) birth, death\()\) -coordinates of the \(i\) th loop; \(d_i - b_i\)  is the persistence of this feature; \(\Delta ^m_{cc}\)  is the average distance between neighboring cells of type \(c\)  for the model \(m \in \lbrace \text{ABM}, \text{CA}\rbrace \)  across all 1000 simulations (see Figure REF (j)); and the indicator function \(\textbf {1}_\text{condition}(i) = 1\)  if the given condition is met for topological feature \(i\) , and 0 otherwise. The birth-time cutoff factor \(B_m\)  and persistence threshold \(P_m\)  with \(m \in \lbrace \text{ABM}, \text{CA}\rbrace \)  are our hyper-parameters for selecting the loops corresponding to stripes or interstripes in our data. In comparison, McGuirl et al. [1]} used a strict birth-time threshold \(B\)  in place of our more flexible cutoff \(B_m \Delta _{cc}\)  that depends on the mean distance between cells. We sweep across these hyper-parameters in §REF  to identify choices that are robust for our focal models.
